Answer:
A. 5
Step-by-step explanation:
The triangle will be a right triangle when the side lengths satisfy the Pythagorean theorem: the sum of the squares of the legs is equal to the square of the hypotenuse.
(x +1)^2 +x^2 = (√61)^2
x^2 +2x +1 +x^2 = 61 . . . eliminate parentheses
2x^2 +2x = 60 . . . . . . .subtract 1, collect terms
x^2 +x -30 = 0 . . . . . divide by 2, subtract 30
(x +6)(x -5) = 0 . . . . factor the quadratic
x = -6 or +5
The solution is x = 5.
_____
Side lengths cannot be negative. Solution values are values of x that make the factors zero. x+6=0 when x=-6, for example.
Answer:
7) Mean = 48 8) Mean = 59.6 9) Mean = 31.6 10) Mean = 42.1
Median = 47.5 Median = 61 Median = 32 Median = 40
Mode = 72 Mode = 90 Mode = 46 Mode = 51
Range = 66 Range = 79 Range = 34 Range = 51
Step-by-step explanation:
I believe the answer is 1981/1000 x I think
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